-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 132, 'abvar_counts': [132, 14256, 1826352, 220625856, 25871563212, 3140945558784, 379521297793308, 45942846734847744, 5560017576205772592, 672746116637218518576], 'abvar_counts_str': '132 14256 1826352 220625856 25871563212 3140945558784 379521297793308 45942846734847744 5560017576205772592 672746116637218518576 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.267574779296024, 0.804786259760391], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 13, 'curve_counts': [13, 117, 1372, 15065, 160643, 1772982, 19475441, 214326769, 2357990212, 25937275077], 'curve_counts_str': '13 117 1372 15065 160643 1772982 19475441 214326769 2357990212 25937275077 ', 'curves': ['y^2=5*x^6+3*x^5+2*x^4+6*x^3+2*x^2+9*x', 'y^2=x^6+5*x^5+5*x^4+x^3+5*x^2+9*x+7', 'y^2=7*x^6+5*x^5+4*x^4+6*x^3+2*x^2+10*x+9', 'y^2=5*x^6+7*x^5+9*x^4+6*x^3+9*x^2+5*x+6', 'y^2=6*x^6+8*x^5+x^3+3*x^2+x+3', 'y^2=4*x^6+x^5+8*x^4+x^3+5*x^2+2*x+8', 'y^2=9*x^6+8*x^5+3*x^4+5*x^3+8*x^2+x+1', 'y^2=5*x^6+9*x^5+2*x^4+9*x^3+10*x^2+7*x+4', 'y^2=3*x^6+8*x^5+2*x^4+4*x^3+3*x^2+9*x', 'y^2=x^6+x^5+4*x^4+3*x^3+3*x^2+8*x+9', 'y^2=3*x^6+10*x^5+6*x^4+7*x^3+6*x^2+10*x+2', 'y^2=5*x^6+3*x^5+8*x^4+5*x^3+5*x^2+2*x+6'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.837401.1'], 'geometric_splitting_field': '4.0.768337.1', 'geometric_splitting_polynomials': [[11, -20, 21, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.11.b_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.837401.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 9]], 'poly': [1, 1, -2, 11, 121], 'poly_str': '1 1 -2 11 121 ', 'primitive_models': [], 'principal_polarization_count': 12, 'q': 11, 'real_poly': [1, 1, -24], 'simple_distinct': ['2.11.b_ac'], 'simple_factors': ['2.11.b_acA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-4*V-1'], 'size': 12, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.768337.1', 'splitting_polynomials': [[11, -20, 21, -2, 1]], 'twist_count': 2, 'twists': [['2.11.ab_ac', '2.121.af_iq', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 9, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 356, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-4*V-1']}
-
av_fq_endalg_factors • Show schema
Hide schema
{'base_label': '2.11.b_ac', 'extension_degree': 1, 'extension_label': '2.11.b_ac', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.837401.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.b_ac', 'galois_group': '4T3', 'places': [['1', '1', '0', '0'], ['9', '1', '0', '0'], ['2', '2/11', '1/11', '120/11'], ['10', '2/11', '1/11', '120/11']]}
